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Sudoku Solution Path

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R6C3 can only be <5>
R4C3 can only be <6>
R4C4 can only be <5>
R3C8 is the only square in row 3 that can be <2>
R5C5 is the only square in row 5 that can be <2>
R5C4 is the only square in row 5 that can be <6>
R7C1 is the only square in row 7 that can be <2>
Squares R5C1 and R5C2 in row 5 form a simple locked pair. These 2 squares both contain the 2 possibilities <89>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the row.
   R5C6 - removing <8> from <1348> leaving <134>
   R5C8 - removing <9> from <1349> leaving <134>
   R5C9 - removing <9> from <149> leaving <14>
Intersection of row 6 with block 5. The values <17> only appears in one or more of squares R6C4, R6C5 and R6C6 of row 6. These squares are the ones that intersect with block 5. Thus, the other (non-intersecting) squares of block 5 cannot contain these values.
   R5C6 - removing <1> from <134> leaving <34>
Intersection of block 6 with column 7. The value <9> only appears in one or more of squares R4C7, R5C7 and R6C7 of block 6. These squares are the ones that intersect with column 7. Thus, the other (non-intersecting) squares of column 7 cannot contain this value.
   R3C7 - removing <9> from <489> leaving <48>
   R7C7 - removing <9> from <3489> leaving <348>
Squares R1C8<458>, R1C9<45> and R3C7<48> in block 3 form a comprehensive locked triplet. These 3 squares can only contain the 3 possibilities <458>. Since each of the squares must contain one of the possibilities, they can be eliminated from the other squares in the block.
   R2C8 - removing <4> from <149> leaving <19>
   R3C9 - removing <45> from <1459> leaving <19>
Intersection of row 3 with block 1. The value <5> only appears in one or more of squares R3C1, R3C2 and R3C3 of row 3. These squares are the ones that intersect with block 1. Thus, the other (non-intersecting) squares of block 1 cannot contain this value.
   R1C1 - removing <5> from <568> leaving <68>
   R1C2 - removing <5> from <34568> leaving <3468>
Squares R1C2 and R1C5 in row 1, R8C2, R8C5 and R8C8 in row 8 and R9C2, R9C5 and R9C8 in row 9 form a Swordfish pattern on possibility <3>. All other instances of this possibility in columns 2, 5 and 8 can be removed.
   R3C2 - removing <3> from <345689> leaving <45689>
   R3C5 - removing <3> from <13467> leaving <1467>
   R5C8 - removing <3> from <134> leaving <14>
   R6C5 - removing <3> from <1379> leaving <179>
   R7C2 - removing <3> from <34567> leaving <4567>
   R7C5 - removing <3> from <13578> leaving <1578>
   R7C8 - removing <3> from <34589> leaving <4589>
R5C6 is the only square in row 5 that can be <3>
R6C7 is the only square in row 6 that can be <3>
R6C5 is the only square in row 6 that can be <9>
R4C7 is the only square in row 4 that can be <9>
Squares R3C3 and R7C3 in column 3 and R3C7 and R7C7 in column 7 form a Simple X-Wing pattern on possibility <4>. All other instances of this possibility in rows 3 and 7 can be removed.
   R3C2 - removing <4> from <45689> leaving <5689>
   R7C2 - removing <4> from <4567> leaving <567>
   R3C5 - removing <4> from <1467> leaving <167>
   R3C6 - removing <4> from <147> leaving <17>
   R7C8 - removing <4> from <4589> leaving <589>
   R7C9 - removing <4> from <4569> leaving <569>
R4C6 is the only square in column 6 that can be <4>
R4C5 can only be <8>
R8C8 is the only square in row 8 that can be <8>
R7C7 can only be <4>
R7C3 can only be <3>
R3C7 can only be <8>
R3C3 can only be <4>
R8C2 can only be <5>
R8C5 can only be <3>
R9C1 can only be <6>
R9C9 can only be <5>
R1C1 can only be <8>
R7C2 can only be <7>
R9C5 can only be <7>
R9C8 can only be <3>
R1C9 can only be <4>
R7C8 can only be <9>
R5C1 can only be <9>
R1C5 can only be <6>
R1C8 can only be <5>
R5C9 can only be <1>
R2C2 can only be <9>
R5C2 can only be <8>
R3C1 can only be <5>
R5C8 can only be <4>
R3C9 can only be <9>
R7C4 can only be <1>
R9C2 can only be <4>
R7C5 can only be <5>
R7C6 can only be <8>
R6C4 can only be <7>
R7C9 can only be <6>
R2C8 can only be <1>
R1C2 can only be <3>
R3C5 can only be <1>
R3C2 can only be <6>
R2C5 can only be <4>
R3C6 can only be <7>
R3C4 can only be <3>
R6C6 can only be <1>


 

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